Isomorphisms of algebras of smooth functions revisited
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It is proved that isomorphisms between algebras of smooth functions on Hausdorff smooth manifolds are implemented by diffeomorphisms. It is not required that manifolds are connected nor second countable nor paracompact. This solves a problem stated by A. Weinstein. Some related results are discussed as well.
Mathematics Subject Classification (2000).Primary 46E25 58A05 Secondary 54C40 54D60
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